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Big Ideas Math Integrated I, 2016 View details

1. Angles of Triangles

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Exercise 29 Page 593

Consider the Corollary to the Triangles Sum Theorem.

50^(∘)

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According to the Corollary to the Triangle Sum Theorem, the acute angles of a right triangle are complementary. Therefore, to find the measure of ∠ 1, we can write the following equation 40^(∘)+m∠ 1=90^(∘). By solving the equation for m∠ 1, we can find the measure of ∠ 1.

40^(∘)+m∠ 1=90^(∘)

SubEqn

LHS-40^(∘)=RHS-40^(∘)

m∠ 1=50^(∘)

The measure of ∠ 1 is 50^(∘).